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Simplifying -6(y + 2) = 2y + -6 + 2(5y + 4) Reorder the terms: -6(2 + y) = 2y + -6 + 2(5y + 4) (2 * -6 + y * -6) = 2y + -6 + 2(5y + 4) (-12 + -6y) = 2y + -6 + 2(5y + 4) Reorder the terms: -12 + -6y = 2y + -6 + 2(4 + 5y) -12 + -6y = 2y + -6 + (4 * 2 + 5y * 2) -12 + -6y = 2y + -6 + (8 + 10y) Reorder the terms: -12 + -6y = -6 + 8 + 2y + 10y Combine like terms: -6 + 8 = 2 -12 + -6y = 2 + 2y + 10y Combine like terms: 2y + 10y = 12y -12 + -6y = 2 + 12y Solving -12 + -6y = 2 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -12 + -6y + -12y = 2 + 12y + -12y Combine like terms: -6y + -12y = -18y -12 + -18y = 2 + 12y + -12y Combine like terms: 12y + -12y = 0 -12 + -18y = 2 + 0 -12 + -18y = 2 Add '12' to each side of the equation. -12 + 12 + -18y = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -18y = 2 + 12 -18y = 2 + 12 Combine like terms: 2 + 12 = 14 -18y = 14 Divide each side by '-18'. y = -0.7777777778 Simplifying y = -0.7777777778
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